数列是高中数学教与学的重点和难点,求数列通项是“数列”一章研究的主要问题,从数列递推关系式探索通项的过程中,有时需要构造一个全新的数列,有时需要从特殊归纳到一般结论,这实际上是一次思维的整理和创新过程。本文举例说明求解递推数列通项问题的几种常用方法,供读者参考。 The number sequence is the key and difficult point of mathematics teaching and learning in senior high school. To solve the problem of number sequence is the main problem in the chapter of “Number Sequence”. In the course of exploring general terms from sequence recurrence relation, Sometimes it needs to be summarized from the special to the general conclusion, which is actually a process of thinking and finishing. This article illustrates several commonly used methods to solve the general problem of recursive sequences for readers’ reference.